Home / 1,192.10-1,787.65-461.25

Finding the Fourth Proportional to 1,192.10, 1,787.65 and 461.25

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Solution

The fourth proportional to 1,192.10, 1,787.65 and 461.25 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.10 : 1,787.65 = 461.25 : x
  2. Step 2: Convert to fraction form
    1,192.10/1,787.65 = 461.25/x
  3. Step 3: Cross multiply
    1,192.10x = 1,787.65 × 461.25
  4. Step 4: Simplify right side
    1,192.10x = 824,552.41
  5. Step 5: Solve for x
    x = 824,552.41/1,192.10
  6. Step 6: Final answer
    x = 691.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.